Respuesta :
Answer: f^-1(x) = 2x/x-1
Explanation:
Setting y=f(x)
y=x/x-2
This may be rearranged as follows
y(x-2) = x
x•y-2y = x
x•y-x = 2y
x=2y/y-1
The expression shows x in terms of y.
That is it! The inverse function of f(x).
Explanation:
Setting y=f(x)
y=x/x-2
This may be rearranged as follows
y(x-2) = x
x•y-2y = x
x•y-x = 2y
x=2y/y-1
The expression shows x in terms of y.
That is it! The inverse function of f(x).